Stat Quiz

QUESTION 2

1. 1.Tests for independence can only be done on a 2 by 2 matrix 

    True

    False

   1. 2.A vet in a small town in Ohio would like to determine if a dog's weight is a cause of hip dysplasia. Use the data from the table below to find the appropriate test statistic and p-value if we want to test for independence between the weight range of a dog and if it suffers from hip dysplasia at the 10% level of significance. 

      Weight of dog

      Hip Dysplasia

      Yes

      No

      0-49 lbs

      2

      18

      50-99 lbs

      7

      32

      100+lbs

      4

      13

        

      chi-square = 1.226, p-value = .10

       

      chi-square = 1.226, p-value = .05 

       

      chi-square = 1.226, p-value = .542 

       

      chi-square = 1.226, p-value = .271 

   1. 3.Based on the values you found above would you reject or not reject the null hypothesis? 

       

      Reject H0

       

      Do NOT Reject H0

   4.Which is the correct conclusion for the hypothesis test you just conducted? 

    

   At the 10% level of significance there is sufficient evidence to suggest that the the presence of hip dysplasia is independent of the dog's weight range.

    

   At the 10% level of significance there is sufficient evidence to suggest that the the presence of hip dysplasia is dependent on the dog's weight range.

   5.When conducting a hypothesis test for independence, which is the appropriate null hypothesis? 

   1.  

      The row and columne variables are dependent on each other. 

       

      The row and column variables are independent of each other. 

   6.What is the shape of the chi-square distribution? 

   1.  

      Bell shaped

       

      Uniform

       

      Skewed left

       

      Skewed right

      .